Foresta Suceava was founded as
Rapid CFR Suceava to continue the football tradition in the city of
Suceava after the dissolution of
FC Cetatea Suceava,
CSM Suceava (Bucovina Suceava) and
NC Foresta Suceava. In the 2011–2012 season the club managed to win
Liga III and as such to gain promotion to
Liga II. Thus, since the 2011–2012 season, Rapid CFR Suceava has played in
Liga II, the second tier of the Romanian football system. Rapid started the 2014–2015 Liga II season with good results: 3 wins and 2 draws. One result was the home match against
Săgeata Năvodari, a club which had previously played in
Liga I for the very first time in its history during the 2013–2014 season, when Rapid fell behind twice but managed to equalise each time. Mircea Negru and
Marius Matei managed to score the goals for Rapid in that respective match. In the 5th fixture Rapid encountered
CS Balotești. Rapid were losing 1–0 until the 88th minute, but won with two goals scored by
Cătălin Golofca and Sascha Marinkovic. Along with this win, Rapid reached second place in Seria I of Liga II with 11 points after 5 matches. In the 2014–2015 season the club additionally managed to qualify for the Round of 16 of the domestic cup competition
Cupa României following a 1–0 win over
Liga I side
Gaz Metan Mediaș in the Round of 32 on September 23, 2014. After the Round of 32, Rapid Suceava alongside
Dacia Mioveni were the only two football clubs from the second division to qualify in the next phase after both having managed to obtain their qualifications from blowout results with teams higher rated than them from the first tier. Nonetheless, beforehand defeating Gaz Metan Mediaș, Rapid did also win two other domestic cup matches against
Liga III sides
CS Știința Miroslava (3–0) and
Cetatea Târgu Neamț (1–0), both away, which made the club obtain a flawless performance with 7 consecutive positive results in both competitions. At the end of the
2015–16 Liga II season, Rapid CFR Suceava was relegated to
Liga III, but maintained the hope to remain in
Liga II after more clubs announced that they would not enroll because of the financial problems. In the middle of 2016 the team changed its name from
Rapid CFR Suceava to
Foresta Suceava, a name that binds the most important results of the football from Suceava. ==Colours and badge==